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Finding the Fourth Proportional to 129,405.93, 194,128.50 and 40,651.11

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Solution

The fourth proportional to 129,405.93, 194,128.50 and 40,651.11 is: 60,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,405.93 : 194,128.50 = 40,651.11 : x
  2. Step 2: Convert to fraction form
    129,405.93/194,128.50 = 40,651.11/x
  3. Step 3: Cross multiply
    129,405.93x = 194,128.50 × 40,651.11
  4. Step 4: Simplify right side
    129,405.93x = 7,891,539,007.64
  5. Step 5: Solve for x
    x = 7,891,539,007.64/129,405.93
  6. Step 6: Final answer
    x = 60,982.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.